Abstract
In this chapter we will see more practical applications of global surfaces of section to the restricted three-body problem. This involves a lot of numerical work, which we will briefly outline. We will also give a rough overview of periodic orbits that appear together with some pictures to get a better idea of the dynamics, but we will omit full proofs, which often require some computer assisted arguments. The nature of this chapter is therefore quite different from the rest of this book.
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Frauenfelder, U., van Koert, O. (2018). Numerics and Dynamics via Global Surfaces of Section. In: The Restricted Three-Body Problem and Holomorphic Curves. Pathways in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-72278-8_18
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DOI: https://doi.org/10.1007/978-3-319-72278-8_18
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-72277-1
Online ISBN: 978-3-319-72278-8
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